106377951792 has 480 divisors, whose sum is σ = 367870740480. Its totient is φ = 26220257280.

The previous prime is 106377951787. The next prime is 106377951817. The reversal of 106377951792 is 297159773601.

It is a super-2 number, since 2×106377951792² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23548318 + ... + 23552834.

It is an arithmetic number, because the mean of its divisors is an integer number (766397376).

Almost surely, 2^106377951792 is an apocalyptic number.

106377951792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106377951792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183935370240).

106377951792 is an abundant number, since it is smaller than the sum of its proper divisors (261492788688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106377951792 is a wasteful number, since it uses less digits than its factorization.

106377951792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4609 (or 4596 counting only the distinct ones).

The product of its (nonzero) digits is 5000940, while the sum is 57.

The spelling of 106377951792 in words is "one hundred six billion, three hundred seventy-seven million, nine hundred fifty-one thousand, seven hundred ninety-two".